Results 11 to 20 of about 54,244 (231)
Singularly perturbed Neumann problems with potentials
Topological Methods in Nonlinear Analysis, 2003 We study the existence of concentrating solutions of a singularly perturbed Neumann problems with two potentials.Comment: 24 pages, 1 ...
Pomponio, Alessio
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Algorithm for solution of systems of singularly perturbed differential equations with adifferential turning point [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2023 The dynamic development of science requires constant improvement of approaches to modeling physical processes and phenomena. Practically all scientific problems can be described by systems of differential equations. Many scientific problems are described
Valentyn Sobchuk +2 more
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$N$-widths for singularly perturbed problems [PDF]
Mathematica Bohemica, 2002 Summary: Kolmogorov \(N\)-widths are an approximation theory concept that, for a given problem, yields information about the optimal rate of convergence attainable by any numerical method applied to that problem. We survey sharp bounds recently obtained for the \(N\)-widths of certain singularly perturbed convection-diffusion and reaction-diffusion ...
Stynes, Martin, Bruce Kellogg, R.
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AIMS Mathematics, 2023 This paper introduces a weak Galerkin finite element method for a system of $ \ell\geq 2 $ coupled singularly perturbed reaction-diffusion problems. The proposed method is independent of parameter and uses piecewise discontinuous polynomials on interior ...
Şuayip Toprakseven , Seza Dinibutun
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Mathematics, 2020 In this study, the asymptotic behavior of the solutions to a boundary value problem for a third-order linear integro-differential equation with a small parameter at the two higher derivatives has been examined, under the condition that the roots of the ...
Assiya Zhumanazarova, Young Im Cho
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A New Parameter-Uniform Discretization of Semilinear Singularly Perturbed Problems
Mathematics, 2022 In this paper, we present a numerical approach to solving singularly perturbed semilinear convection-diffusion problems. The nonlinear part of the problem is linearized via the quasilinearization technique.
Justin B. Munyakazi, Olawale O. Kehinde
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Recovery problem for a singularly perturbed differential equation with an initial jump
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 The article investigates the asymptotic behavior of the solution to reconstructing the boundary conditions and the right-hand side for second-order differential equations with a small parameter at the highest derivative, which have an initial jump ...
D.N. Nurgabyl, S.S. Nazhim
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Numerical Methods for Partial Differential Equations, 2019 The objective of this paper is to construct and analyze a fitted operator finite difference method (FOFDM) for the family of time‐dependent singularly perturbed parabolic convection–diffusion problems. The solution to the problems we consider exhibits an
J. Munyakazi, K. Patidar, Mbani T. Sayi
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Singularly perturbed spectral problems with Neumann boundary conditions [PDF]
, 2015 The paper deals with the Neumann spectral problem for a singularly perturbed second order elliptic operator with bounded lower order terms. The main goal is to provide a refined description of the limit behaviour of the principal eigenvalue and ...
Piatnitski, A., Rybalko, A., Rybalko, V.
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Numerical solution of singularly perturbed problems using Haar wavelet collocation method
Cogent Mathematics, 2016 In this paper, a collocation method based on Haar wavelets is proposed for the numerical solutions of singularly perturbed boundary value problems. The properties of the Haar wavelet expansions together with operational matrix of integration are utilized
F. Shah, R. Abass, J. Iqbal
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